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Finding the Fourth Proportional to 1,164.57, 1,607.10 and 667.50

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Solution

The fourth proportional to 1,164.57, 1,607.10 and 667.50 is: 921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.57 : 1,607.10 = 667.50 : x
  2. Step 2: Convert to fraction form
    1,164.57/1,607.10 = 667.50/x
  3. Step 3: Cross multiply
    1,164.57x = 1,607.10 × 667.50
  4. Step 4: Simplify right side
    1,164.57x = 1,072,739.25
  5. Step 5: Solve for x
    x = 1,072,739.25/1,164.57
  6. Step 6: Final answer
    x = 921.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.